Atkin-Lehner |
2+ 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050g |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-781488000000000 = -1 · 213 · 36 · 59 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 3 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65450,6556500] |
[a1,a2,a3,a4,a6] |
j |
-15875704027637/400121856 |
j-invariant |
L |
2.0125515005149 |
L(r)(E,1)/r! |
Ω |
0.50313787512873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400du1 30150cs1 10050bm1 |
Quadratic twists by: -4 -3 5 |